Independent Examination Board (IEB) examination results announced on Friday were a slight improvement on last year's, the Star newspaper reported.
More than 8700 pupils at private schools wrote the exams this year and achieved a pass rate of 98.20 percent.
Last year's pass rate was 98.15 percent.
The newspaper reported that all those who passed gained entry into tertiary study.
It reported Anne Oberholzer, the chief executive of the IEB, saying she was pleased with the results - and that 83.6 percent of pupils achieved entry to degree study - a "significant" improvement from last year's 81.67 percent.
"Learners are realising that it's not enough to just pass - that they have to pass well," the Star quoted Oberholzer saying.
"I think the hype nationally around the quality of the pass rates - that a 30 percent pass is not enough - has seen both learners and teachers realise they need to extend themselves to their very best."